Generalized holomorphic bundles and the B-field action
arXiv:1010.0207 · doi:10.1016/j.geomphys.2010.10.014
Abstract
On a generalized complex manifold there is an associated definition of a generalized holomorphic bundle, introduced by Gualtieri. This notion in the case of an ordinary complex structure yields an object which we call a co-Higgs bundle and we consider the B-field action of a closed form of type (1,1), both local and global. The effect makes contact with both Nahm's equations and holomorphic gerbes.
19 pages